Upper bound for the energy of a confined gas of hard sphere bosons
MATHPHYS ANALYSIS SEMINAR
Date:
Thursday, December 2, 2021 16:15 - 17:15
Speaker:
Benjamin Schlein (University of Zürich)
Location:
Online via Zoom
Series:
Mathematics and CS Seminar
Host:
Laszlo Erdös
Contact:
Birgit Oosthuizen-Noczil
We prove an upper bound for the ground state energy of a confined gas of N bosons, optimal up to errors vanishing as N tends to infinity. We consider particles moving on the three-dimensional unit torus, interacting through a hard sphere potential with radius of order 1/N (Gross-Pitaevskii regime). This is joint work with G. Basti, S. Cenatiempo, A. Olgiati and G. Pasqualetti.